I challenge your premise that the majority of American superhero movies include military propaganda. While the transition to film will introduce deviation, Marvel comics are deeply anti-military worship.
The original Iron Man movie can partially be seen as a meditation on American Empire.
In many of the X-Men series, the government (or, more lamely, elements inside the government) are the main enemy.
Captain America: Winter Soldier goes a long way to criticizing the US government (or, more lamely, elements inside the government), and Cap's whole vibe is America as it should be in contrast to how it is.
I think the Tobey Maguire run of Spiderman has some patriotism without veering into military propaganda.
The first two Hellboy movies (legendary Mexican director Guillermo del Toro) are free of propaganda. In the first movie, the government agency is run by an incompetent, and in the second, you'll sympathize more with the villain.
Dr. Strange doesn't fellate the USM at all, and the first two Guardians of the Galaxy movies don´t even take place on Earth; nor does Thor: Ragnarok.
Shang-Chi is another USM-free safe zone.
The Watchmen (authored by British writer Alan Moore) is not pro-US propaganda; the character The Comedian is the US Empire personified, and he is a killer and a rapist.
The Dark Knight trilogy (British director Christopher Nolan) escapes it as well, with maybe the exception of the last one, as does every other Batman movie that comes to mind.
If you want parody, there's the Tick, which had a live action and animated TV series.
If you DO want American propaganda, you're going to LOVE any Transformer's movie.

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